Question

Evaluate the expression for the given value of the variable. $$27-\frac{24}{b} \text { when } b=8$$

Short answer

The result of the expression when \(b=8\) is \(24\).

Step-by-step solution

Substitute the value

Substitute the given value into the formula. For this case, \(b=8\). Substitute \(8\) for \(b\) in the expression \(27-\frac{24}{b}\), to get \(27-\frac{24}{8}\).

Perform the Division

Perform the division operation first following the BIDMAS/BODMAS/PEDMAS rules, which prioritizes Division and Multiplication before Addition and Subtraction. This gives \(27-3\).

Perform the Subtraction

Now perform the subtraction operation to obtain the value of the expression. This gives \(24\).